UMass CS EdLab's Moll575 webThe Moll575 web of TWiki. TWiki is a Web-Based Collaboration Platform for the Enterprise.https://twiki-edlab.cs.umass.edu/bin/view/Moll575Copyright 2019 by contributing authors2015-03-12T18:01:11ZCourseSyllabushttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/CourseSyllabus2015-03-12T18:01:11ZCourse Syllabus 575/513 Chapter references are to Tucker textbook:Applied Combinatorics, Alan Tucker, 6th edition, Wiley, 2012. Additional materials from Pearls in... (last changed by RobbieMoll)RobbieMollHwk7Anshttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/Hwk7Ans2014-12-11T03:33:24ZHomework Seven Quick Answers 1. 2 (263 103) 5.1.18 2. You can choose 21 21 integer pairs. In the given range 11 are even, 10 are odd. So: (11 11 10 10)/21 21... (last changed by RobbieMoll)RobbieMollWebHomehttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/WebHome2014-12-10T15:02:42ZComputer Science 575 / Math 513 Fall 2014 December 10 Office hours this week for 575/513: Wednesday 1 2:30 (no office hours monday or tuesday, except by appointment... (last changed by RobbieMoll)RobbieMollHomeworkAssignmentshttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/HomeworkAssignments2014-12-09T18:07:12Z575/513 Homework Assignments HwkOne HwkTwo Hwk2Ans HwkThree Hwk3Ans HwkFour Hwk4Ans HwkFive Hwk5Ans HwkSix Hwk6Ans HwkSeven Hwk7Ans HwkEight Hwk8Ans HwkNine Hwk9Ans... (last changed by RobbieMoll)RobbieMollHwk6Anshttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/Hwk6Ans2014-12-09T18:06:41ZHomework Six quick answers 1. 27 cells, 14 black, 13 blue. Center cell is blue. HAM path must be 27 long, must start and end with black (the 14 count color). But... (last changed by RobbieMoll)RobbieMollHwk9Anshttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/Hwk9Ans2014-12-08T17:12:21ZHomework Nine Quick Answers 1. C(12,6) 2. Generator is (1 x x2)50 seek coefficient of x40 This begins C(89,40) C(50,1) C(86,37) C(50,2) C(83,34)... 3. Just pick... (last changed by RobbieMoll)RobbieMollHwkNinehttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/HwkNine2014-12-08T17:11:07ZHomework Assignment Nine You may collaborate on numbers 4,5, 8. Notation in brackets are references to problems in Tucker, 5th edition. 1 Find the coefficient of... (last changed by RobbieMoll)RobbieMollHwk10Anshttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/Hwk10Ans2014-12-07T16:45:43ZHomework Assignment 10 Quick Answers 1. an 2an 1 an 2 2. an 2an 1 (2n 3 an 3) 3. an an 2 2 an 3 4 an 4 4. 3n 1/2(n2 3n) or (1 Sum1,n ((k... (last changed by RobbieMoll)RobbieMollHwk11Anshttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/Hwk11Ans2014-12-05T17:07:38ZHomework 11 Quick Answers 1. 69 C(6,1) 59 C(6,2) 49 C(6,3) 39 ... 2. C(52,8) C(13,1) C(48,4) C(13,2) 3.SIGMA k 0,n ( 1)k C(n,k) 2k (2n 1 k)! 4. 1... (last changed by RobbieMoll)RobbieMollHwk12Anshttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/Hwk12Ans2014-12-04T00:19:36ZHomework 12 Quick Answers 1. For example,pi2 is (a b c d) 2. pi2 and pi3 3. 1/4 2 64 2 2 16 2 32 4. n even: 1/2(3 2n 1); n odd 1/2(3 2n 1 3 2(n 1)/2))... (last changed by RobbieMoll)RobbieMollHwkTwelvehttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/HwkTwelve2014-11-29T00:49:31ZHomework Assignment Twelve You may collaborate on 9 1 9.1.4 textbook editions 3,4,5,6 1 9.1.12 textbook editions 3,4,5,6 1 9.2.4 textbook editions... (last changed by RobbieMoll)RobbieMollHwkTenhttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/HwkTen2014-11-19T20:03:18ZHomework Assignment Ten You may collaborate on numbers 1,3,5,7. 1 Find a recurrence for the number of n letter sequences using letters A, B, and C, such that any... (last changed by RobbieMoll)RobbieMollHwkElevenhttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/HwkEleven2014-11-19T18:32:12ZHomework Assignment 11 You may collaborate on problem numbers 3,5,6 1 How many ways are there to roll 9 distinct dice so that all 6 faces appear? 8.2.2 1 What... (last changed by RobbieMoll)RobbieMollHwkEighthttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/HwkEight2014-10-27T00:54:15ZHomework Assignment Eight You may collaborate on 3, 6, 12. Citations in indicate problem numbers in Tucker, 6th edition. 1 Show the correctness of this binomial... (last changed by RobbieMoll)RobbieMollHwkSevenhttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/HwkSeven2014-10-16T19:50:59ZHomework Assignment Seven 1 How many different license plates involving 3 letters and 3 digits are there if the three letters appear at the beginning or at the... (last changed by RobbieMoll)RobbieMollHwkSixhttps://twiki-edlab.cs.umass.edu/bin/view/Moll575/HwkSix2014-10-10T16:37:38ZHomework Assignment Six 1. Consider 27 cubes arranged in a 3x3x3 array. Form an associated graph with each cube viewed as a vertex, and with two vertices adjacent... (last changed by RobbieMoll)RobbieMoll